SOLUTION: A box contains three blue balls and three white balls. if two balls are drawn one at a time, find the probability that both balls are blue if the draws are made as follows: a). wi

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Question 195141: A box contains three blue balls and three white balls. if two balls are drawn one at a time, find the probability that both balls are blue if the draws are made as follows:
a). with replacement
b.) without replacement

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A box contains three blue balls and three white balls. if two balls are drawn one at a time, find the probability that both balls are blue if the draws are made as follows:
a). with replacement
1st draw : P(blue) = 3/6 = 1/2
2nd draw : P(blue) = 3/6 = 1/2
P(2 blue in two draws = (1/2)^2 = 1/4
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b.) without replacement
1st draw : P(blue) = 3/6 = 1/2
2nd draw : P blue) = 2/5
P(2 blue in two draws) = (1/2)(2/5) = 1/5
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Cheers,
Stan H.